Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation

Radhanath N. Rath; Niyati Misra; Laxmi N. Padhy

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 2, page [157]-170
  • ISSN: 0232-0525

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Rath, Radhanath N., Misra, Niyati, and Padhy, Laxmi N.. "Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation." Mathematica Slovaca 57.2 (2007): [157]-170. <http://eudml.org/doc/34636>.

@article{Rath2007,
author = {Rath, Radhanath N., Misra, Niyati, Padhy, Laxmi N.},
journal = {Mathematica Slovaca},
keywords = {neutral differential equation; oscillation; non-oscillation},
language = {eng},
number = {2},
pages = {[157]-170},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation},
url = {http://eudml.org/doc/34636},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Rath, Radhanath N.
AU - Misra, Niyati
AU - Padhy, Laxmi N.
TI - Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 2
SP - [157]
EP - 170
LA - eng
KW - neutral differential equation; oscillation; non-oscillation
UR - http://eudml.org/doc/34636
ER -

References

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  3. DAS P.-MISRA N., A necessary and sufficient condition for the solution of a functional differential equation to be oscillatory or tend to zero, J. Math. Anal. Appl. 204 (1997), 78-87. (1997) MR1426981
  4. DRIVER R. D., Ordinary and Delay Differential Equations, Springer Verlag, New York, 1976. (1976) MR0477368
  5. GRAMMATIKOPOULOS M. K-LADAS G.-MEIMARIDOU A., Oscillation and asymptotic behaviour of second order neutral differential equations, Ann. Mat. Pura Appl. (4) 148 (1987), 29-40. (1987) MR0932756
  6. GYORI I.-LADAS G., Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  7. HALE J. K., Theory of Functional Differential Equations, Springer Verlag, New York, 1977. (1977) Zbl0352.34001MR0508721
  8. LALLI B. S., Oscillation of nonlinear second order neutral delay differential equations, Bull. Inst. Math. Acad. Sinica 18 (1990), 233-238. (1990) MR1083414
  9. PARHI N.-MOHANTY P. K., On oscillatory forced neutral differential equations of second order, J. Indian. Math. Soc. (N.S.) 61 (1995), 241-254. (1995) Zbl0870.34077MR1457941
  10. PARHI N.-MOHANTY P. K., Oscillation of solutions of forced neutral differential equations of n-th order, Czechoslovak Math. J. 45 (1995), 413-433. (1995) Zbl0842.34076MR1344507
  11. PARHI N.-RATH R. N., Oscillation criteria for forced first order neutral differential equations with variable coefficients, J. Math. Anal. Appl. 256 (2001), 525-541. Zbl0982.34057MR1821755
  12. PARHI N.-RATH R. N., On oscillation of solutions of forced nonlinear neutral diffential equations of higher order II, Ann. Polon. Math. 81 (2003), 101-110. MR1976190
  13. PARHI N.-RATH R. N., On oscillation and asymptotic behaviour of solutions of forced first order neutral differential equations, Proc. Indian Acad. Sci. Math. Sci. 111, 2001 337-350. Zbl0995.34058MR1851095
  14. RATH R. N., Necessary and sufficient conditions for the oscillatory behaviour of solutions of a first order neutral equation with several delays, Math. Slovaca 53 (2003), 78-89. MR1964206
  15. ROYDEN H. L., Real Analysis, (3rd ed.) MacMillan Publ. Co., New York, 1989. (1989) MR1013117

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